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Finding the Fourth Proportional to 14,547.17, 21,822.84 and 5,660.78

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Solution

The fourth proportional to 14,547.17, 21,822.84 and 5,660.78 is: 8,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.17 : 21,822.84 = 5,660.78 : x
  2. Step 2: Convert to fraction form
    14,547.17/21,822.84 = 5,660.78/x
  3. Step 3: Cross multiply
    14,547.17x = 21,822.84 × 5,660.78
  4. Step 4: Simplify right side
    14,547.17x = 123,534,296.22
  5. Step 5: Solve for x
    x = 123,534,296.22/14,547.17
  6. Step 6: Final answer
    x = 8,491.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.